Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2730 and 2733 the smallest integer that is 2487030 that is divisible by both numbers.
Least Common Multiple (LCM) of 2730 and 2733 is 2487030.
LCM(2730,2733) = 2487030
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2730 and 2733. First we will calculate the prime factors of 2730 and 2733.
Prime Factorization of 2730
2 | 2730 |
3 | 1365 |
5 | 455 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 2730 are 2, 3, 5, 7,13. Prime factorization of 2730 in exponential form is:
2730 = 21×31×51×71×131
Prime Factorization of 2733
3 | 2733 |
911 | 911 |
1 |
Prime factors of 2733 are 3,911. Prime factorization of 2733 in exponential form is:
2733 = 31×9111
Now multiplying the highest exponent prime factors to calculate the LCM of 2730 and 2733.
LCM(2730,2733) = 21×31×51×71×131×9111
LCM(2730,2733) = 2487030
Factors of 2730
List of positive integer factors of 2730 that divides 2730 without a remainder.
1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730
Factors of 2733
List of positive integer factors of 2733 that divides 2733 without a remainder.
1, 3, 911, 2733
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2730 and 2733, than apply into the LCM equation.
GCF(2730,2733) = 3
LCM(2730,2733) = ( 2730 × 2733) / 3
LCM(2730,2733) = 7461090 / 3
LCM(2730,2733) = 2487030
(i) The LCM of 2733 and 2730 is associative
LCM of 2730 and 2733 = LCM of 2733 and 2730
1. What is the LCM of 2730 and 2733?
Answer: LCM of 2730 and 2733 is 2487030.
2. What are the Factors of 2730?
Answer: Factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730. There are 32 integers that are factors of 2730. The greatest factor of 2730 is 2730.
3. What are the Factors of 2733?
Answer: Factors of 2733 are 1, 3, 911, 2733. There are 4 integers that are factors of 2733. The greatest factor of 2733 is 2733.
4. How to Find the LCM of 2730 and 2733?
Answer:
Least Common Multiple of 2730 and 2733 = 2487030
Step 1: Find the prime factorization of 2730
2730 = 2 x 3 x 5 x 7 x 13
Step 2: Find the prime factorization of 2733
2733 = 3 x 911
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2487030 = 2 x 3 x 5 x 7 x 13 x 911
Step 4: Therefore, the least common multiple of 2730 and 2733 is 2487030.